Answer:
<h2>1.5</h2>Step-by-step explanation:
We are given two points. Let the points be A and B
A ( 8 , -2 ) ------> ( x1 , y1 )
B ( 12 , 4 ) ------> ( x2 , y2 )
Now, let's find the slope of the given points:
plug the values
When there is a ( - ) in front of an expression in parentheses , change the sign of each term in the expression
Subtract the numbers
Add the numbers
Reduce the fraction with 2
Hope this helps..
Best regards!!
Answer:
The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888
Step-by-step explanation:
The given series is;
12, 16, 20, ...,
Therefore, the first term of the series is, a = 12
The common difference of series is found as follows;
The difference between subsequent terms, 12 and 16 is 16 - 12 = 4
The difference between subsequent terms, 16, and 20 is 20 - 16 = 4
Therefore, the common difference, d = 4
The series is therefore an arithmetic projection, AP
The sum of the first 'n' terms of an AP, Sₙ, is given as follows;
(47/2)*(2*12+(47-1)*4)
The sum of the first 47 terms is therefore given as follows;
The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ = 4,888